Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 52545 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ | 0.6208 | 0.8111 | 0.7653 | [X:[], M:[0.9544, 0.7966, 0.8631, 1.1369, 0.6806, 1.1369], q:[0.7386, 0.307], qb:[0.4648, 0.3983], phi:[0.5228]] | [X:[], M:[[-4], [26], [-12], [12], [-28], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ M_5\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.04 + t^2.12 + t^2.32 + t^2.39 + t^2.86 + t^3.14 + 3*t^3.41 + t^3.68 + t^3.88 + t^4.08 + 2*t^4.16 + t^4.23 + 2*t^4.36 + 2*t^4.43 + t^4.51 + t^4.63 + t^4.71 + t^4.78 + t^4.9 + t^4.98 + 2*t^5.18 + 2*t^5.25 + 4*t^5.45 + 3*t^5.53 + 3*t^5.73 + 3*t^5.8 + t^5.93 - t^6. + t^6.07 + t^6.12 + 2*t^6.2 + 3*t^6.27 + t^6.35 + 2*t^6.4 + 2*t^6.47 + 5*t^6.55 + t^6.62 + 2*t^6.67 + 2*t^6.75 + 6*t^6.82 + t^6.9 + 2*t^6.95 + t^7.02 + 3*t^7.1 + t^7.17 + 2*t^7.22 + 3*t^7.29 + t^7.37 + 5*t^7.49 + 4*t^7.57 + 4*t^7.64 + 5*t^7.77 + 3*t^7.84 + 3*t^7.92 + t^7.97 + t^8.12 + t^8.17 + 3*t^8.19 + 3*t^8.24 + t^8.32 + 2*t^8.44 + 2*t^8.46 + 3*t^8.51 + 4*t^8.59 + 4*t^8.66 + 3*t^8.71 + t^8.74 + 2*t^8.79 + 4*t^8.86 + 6*t^8.94 + 3*t^8.99 - t^4.57/y - t^6.61/y - t^6.96/y + (2*t^7.16)/y + t^7.36/y + (2*t^7.43)/y + t^7.51/y + t^7.71/y + t^7.9/y + (3*t^8.18)/y + (2*t^8.25)/y + (4*t^8.45)/y + (5*t^8.53)/y - t^8.65/y + (4*t^8.73)/y + (4*t^8.8)/y + t^8.93/y - t^4.57*y - t^6.61*y - t^6.96*y + 2*t^7.16*y + t^7.36*y + 2*t^7.43*y + t^7.51*y + t^7.71*y + t^7.9*y + 3*t^8.18*y + 2*t^8.25*y + 4*t^8.45*y + 5*t^8.53*y - t^8.65*y + 4*t^8.73*y + 4*t^8.8*y + t^8.93*y | t^2.04/g1^28 + g1^18*t^2.12 + t^2.32/g1^20 + g1^26*t^2.39 + t^2.86/g1^4 + g1^4*t^3.14 + 3*g1^12*t^3.41 + g1^20*t^3.68 + t^3.88/g1^18 + t^4.08/g1^56 + (2*t^4.16)/g1^10 + g1^36*t^4.23 + (2*t^4.36)/g1^48 + (2*t^4.43)/g1^2 + g1^44*t^4.51 + t^4.63/g1^40 + g1^6*t^4.71 + g1^52*t^4.78 + t^4.9/g1^32 + g1^14*t^4.98 + (2*t^5.18)/g1^24 + 2*g1^22*t^5.25 + (4*t^5.45)/g1^16 + 3*g1^30*t^5.53 + (3*t^5.73)/g1^8 + 3*g1^38*t^5.8 + t^5.93/g1^46 - t^6. + g1^46*t^6.07 + t^6.12/g1^84 + (2*t^6.2)/g1^38 + 3*g1^8*t^6.27 + g1^54*t^6.35 + (2*t^6.4)/g1^76 + (2*t^6.47)/g1^30 + 5*g1^16*t^6.55 + g1^62*t^6.62 + (2*t^6.67)/g1^68 + (2*t^6.75)/g1^22 + 6*g1^24*t^6.82 + g1^70*t^6.9 + (2*t^6.95)/g1^60 + t^7.02/g1^14 + 3*g1^32*t^7.1 + g1^78*t^7.17 + (2*t^7.22)/g1^52 + (3*t^7.29)/g1^6 + g1^40*t^7.37 + (5*t^7.49)/g1^44 + 4*g1^2*t^7.57 + 4*g1^48*t^7.64 + (5*t^7.77)/g1^36 + 3*g1^10*t^7.84 + 3*g1^56*t^7.92 + t^7.97/g1^74 + g1^18*t^8.12 + t^8.17/g1^112 + 3*g1^64*t^8.19 + (3*t^8.24)/g1^66 + t^8.32/g1^20 + (2*t^8.44)/g1^104 + 2*g1^72*t^8.46 + (3*t^8.51)/g1^58 + (4*t^8.59)/g1^12 + 4*g1^34*t^8.66 + (3*t^8.71)/g1^96 + g1^80*t^8.74 + (2*t^8.79)/g1^50 + (4*t^8.86)/g1^4 + 6*g1^42*t^8.94 + (3*t^8.99)/g1^88 - (g1^2*t^4.57)/y - t^6.61/(g1^26*y) - (g1^28*t^6.96)/y + (2*t^7.16)/(g1^10*y) + t^7.36/(g1^48*y) + (2*t^7.43)/(g1^2*y) + (g1^44*t^7.51)/y + (g1^6*t^7.71)/y + t^7.9/(g1^32*y) + (3*t^8.18)/(g1^24*y) + (2*g1^22*t^8.25)/y + (4*t^8.45)/(g1^16*y) + (5*g1^30*t^8.53)/y - t^8.65/(g1^54*y) + (4*t^8.73)/(g1^8*y) + (4*g1^38*t^8.8)/y + t^8.93/(g1^46*y) - g1^2*t^4.57*y - (t^6.61*y)/g1^26 - g1^28*t^6.96*y + (2*t^7.16*y)/g1^10 + (t^7.36*y)/g1^48 + (2*t^7.43*y)/g1^2 + g1^44*t^7.51*y + g1^6*t^7.71*y + (t^7.9*y)/g1^32 + (3*t^8.18*y)/g1^24 + 2*g1^22*t^8.25*y + (4*t^8.45*y)/g1^16 + 5*g1^30*t^8.53*y - (t^8.65*y)/g1^54 + (4*t^8.73*y)/g1^8 + 4*g1^38*t^8.8*y + (t^8.93*y)/g1^46 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 56439 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_1M_7$ | 0.6166 | 0.8041 | 0.7668 | [X:[], M:[0.955, 0.7922, 0.8651, 1.1349, 0.6853, 1.1349, 1.045], q:[0.7388, 0.3062], qb:[0.469, 0.3961], phi:[0.5225]] | t^2.06 + t^2.11 + t^2.33 + t^2.38 + 2*t^3.13 + 3*t^3.4 + t^3.67 + t^3.89 + t^4.11 + 2*t^4.16 + t^4.21 + 2*t^4.38 + 2*t^4.43 + t^4.48 + t^4.65 + t^4.7 + t^4.75 + 2*t^5.19 + 2*t^5.24 + 5*t^5.46 + 4*t^5.51 + 2*t^5.73 + 3*t^5.78 + t^5.95 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
| 56445 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6412 | 0.8501 | 0.7543 | [X:[], M:[0.955, 0.7925, 0.865, 1.135, 0.685, 1.135, 0.7025], q:[0.7388, 0.3062], qb:[0.4688, 0.3962], phi:[0.5225]] | t^2.06 + 2*t^2.11 + t^2.33 + t^2.38 + t^2.87 + t^3.13 + 3*t^3.4 + t^3.67 + t^4.11 + 3*t^4.16 + 3*t^4.21 + 2*t^4.38 + 3*t^4.43 + 2*t^4.48 + t^4.65 + t^4.7 + t^4.75 + t^4.92 + 2*t^4.97 + 2*t^5.19 + 3*t^5.24 + 4*t^5.46 + 6*t^5.51 + 3*t^5.73 + 4*t^5.78 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
| 56443 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.639 | 0.8443 | 0.7569 | [X:[], M:[0.9527, 0.8077, 0.858, 1.142, 0.6686, 1.142, 0.7633], q:[0.7382, 0.3092], qb:[0.4541, 0.4039], phi:[0.5237]] | t^2.01 + t^2.14 + 2*t^2.29 + t^2.42 + t^2.86 + t^3.14 + 3*t^3.43 + t^3.86 + t^4.01 + 2*t^4.14 + t^4.28 + 3*t^4.3 + 3*t^4.43 + t^4.56 + 3*t^4.58 + 2*t^4.71 + t^4.85 + t^4.86 + t^5. + 3*t^5.15 + 2*t^5.28 + 5*t^5.43 + 3*t^5.57 + 5*t^5.72 + 2*t^5.85 + t^5.87 - 2*t^6. - t^4.57/y - t^4.57*y | detail | |
| 56440 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.6251 | 0.8183 | 0.7638 | [X:[], M:[0.9537, 0.801, 0.8611, 1.1389, 0.6758, 1.1389, 0.9537], q:[0.7384, 0.3079], qb:[0.4605, 0.4005], phi:[0.5232]] | t^2.03 + t^2.13 + t^2.31 + t^2.4 + 2*t^2.86 + 3*t^3.42 + t^3.69 + t^3.87 + t^4.05 + 2*t^4.15 + t^4.25 + 2*t^4.33 + 2*t^4.43 + t^4.53 + t^4.61 + t^4.71 + t^4.81 + 2*t^4.89 + 2*t^4.99 + 2*t^5.17 + 2*t^5.26 + 3*t^5.44 + 2*t^5.54 + 5*t^5.72 + 3*t^5.82 + t^5.9 - 2*t^6. - t^4.57/y - t^4.57*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 46967 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6331 | 0.8324 | 0.7605 | [X:[], M:[0.9527, 0.8076, 0.858, 1.142, 0.6687], q:[0.7382, 0.3092], qb:[0.4542, 0.4038], phi:[0.5237]] | t^2.01 + t^2.14 + t^2.29 + t^2.42 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^3.86 + t^4.01 + 2*t^4.15 + t^4.28 + 2*t^4.3 + 2*t^4.43 + t^4.56 + 2*t^4.58 + 2*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.15 + 2*t^5.28 + 4*t^5.43 + 2*t^5.56 + 3*t^5.72 + 2*t^5.85 + t^5.87 + t^6. - t^4.57/y - t^4.57*y | detail |